An instance of the generalized partial cover problem consists of a ground set U and a family of subsets S 2U . Each element e U is associated with a profit p(e), whereas each su...
Abstract. We give a (ln n + 1)-approximation for the decision tree (DT) problem. An instance of DT is a set of m binary tests T = (T1, . . . , Tm) and a set of n items X = (X1, . ....
Our goal is to find an approximate shortest path for a point robot moving in a planar subdivision with n vertices. Let 1 be a real number. Distances in each face of this subdivis...
Siu-Wing Cheng, Hyeon-Suk Na, Antoine Vigneron, Ya...
The edge dominating set (EDS) and edge cover (EC) problems are classical graph covering problems in which one seeks a minimum cost collection of edges which covers the edges or ve...
Abstract. CrossingNumber is one of the most challenging algorithmic problems in topological graph theory, with applications to graph drawing and VLSI layout. No polynomial time con...